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nlin.SIDec 20, 2020
25
citations (OpenAlex)
authors
  • Alexander Alexandrov
institutions
  • Institute for Basic Science
arXiv abstractPDF
paper

KdV solves BKP

arXiv:2012.10448 · doi:10.1073/pnas.2101917118

Abstract

In this note, we prove that any tau-function of the KdV hierarchy also solves the BKP hierarchy after a simple rescaling of times.

arXiv comment2 pages

References in corpus (2)

  • Superintegrability of Kontsevich matrix model
  • Intersection numbers on Mg,n​ and BKP hierarchy

Cited by in corpus (8)

  • Generalized Brézin-Gross-Witten tau-function as a hypergeometric solution of the BKP hierarchy
  • Linear superposition in the general heavenly equation
  • BKP Hierarchy, Affine Coordinates, and a Formula for Connected Bosonic N-Point Functions
  • BKP tau-functions as square roots of KP tau-functions
  • Notes about KP/BKP correspondence
  • A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential
  • Combinatorics of KP hierarchy structural constants
  • Boson-Fermion correspondence, QQ-relations and Wronskian solutions of the T-system
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